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Finding the Fourth Proportional to 398,988.42, 550,106.01 and 255,512.58

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Solution

The fourth proportional to 398,988.42, 550,106.01 and 255,512.58 is: 352,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,988.42 : 550,106.01 = 255,512.58 : x
  2. Step 2: Convert to fraction form
    398,988.42/550,106.01 = 255,512.58/x
  3. Step 3: Cross multiply
    398,988.42x = 550,106.01 × 255,512.58
  4. Step 4: Simplify right side
    398,988.42x = 140,559,005,888.61
  5. Step 5: Solve for x
    x = 140,559,005,888.61/398,988.42
  6. Step 6: Final answer
    x = 352,288.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.